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1051142420 = 225314141351
BaseRepresentation
bin111110101001110…
…010100100010100
32201020220120022202
4332221302210110
54123043024140
6252145344032
735022364106
oct7651624424
92636816282
101051142420
1149a384949
12254038018
13139a05583
149d861576
1562434915
hex3ea72914

1051142420 has 48 divisors (see below), whose sum is σ = 2334237696. Its totient is φ = 396960000.

The previous prime is 1051142387. The next prime is 1051142441. The reversal of 1051142420 is 242411501.

It is a happy number.

1051142420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10511424202 = 2209800774246912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1051142392 and 1051142401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4745 + ... + 46095.

It is an arithmetic number, because the mean of its divisors is an integer number (48629952).

Almost surely, 21051142420 is an apocalyptic number.

1051142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167118848).

1051142420 is an abundant number, since it is smaller than the sum of its proper divisors (1283095276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1051142420 is a wasteful number, since it uses less digits than its factorization.

1051142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41432 (or 41430 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1051142420 is about 32421.3266230733. The cubic root of 1051142420 is about 1016.7648427393.

Adding to 1051142420 its reverse (242411501), we get a palindrome (1293553921).

The spelling of 1051142420 in words is "one billion, fifty-one million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 12710 25420 41351 82702 165404 206755 413510 827020 1281881 1695391 2563762 3390782 5127524 6409405 6781564 8476955 12818810 16953910 25637620 33907820 52557121 105114242 210228484 262785605 525571210 1051142420